Linear Operators and Stochastic Dominance
This paper aims to show how various types of stochastic dominance, both in the vector space of Bord signed measures and in its subset of distribution functions of random variables, may be described through linear operators. This allows to obtain in a very natural way (old and new) characterizations of linear functionals preserving stochastic dominance: such functionals are the familiar expected utilities.
KeywordsLinear Operator Convex Subset Dominance Relation Linear Functional Dual Pair
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